Solve the system of linear equations by substitution.

Question

{
y
=
4
x
+
1
3
x
+
y
=
8


(
1
,
3
)

(
3
,
3
)

(
2
,
5
)

(
1
,
5
)

Answer 1

First, we can start by substituting the value of y from the first equation into the second equation:

3x + y = 8
3x + 4x + 1 = 8
7x + 1 = 8
7x = 7
x = 1

Now that we have found the value of x, we can substitute it back into the first equation to find the value of y:

y = 4x + 1
y = 4(1) + 1
y = 4 + 1
y = 5

Therefore, the solution to the system of linear equations is x = 1 and y = 5, which corresponds to the ordered pair (1, 5).